Arbitrary-moment internally mixed dynamic equation

B. Y. Grits, A. S. Wexler

Research output: Contribution to journalArticlepeer-review


Although aerosol models usually endeavor to predict the number or mass distribution of particles, many applications require other constant moments, moments that vary with particle size, or multiple moments. Here we derive the equations governing multi-component condensation/evaporation for a general distribution function that may present an arbitrary moment (either integer or non-integer) or an arbitrary combination of such moments. We used analytical solution of the evolution equation instead of a commonly used operator splitting. A variant of Bott's positive definite advection scheme was employed to simulate advection processes. Several variants of this general distribution function were tested: sum of the mass (3rd moment) and number (0th moment) distributions; an intermediate (1.5th moment) distribution; and the sum of these mass, number and intermediate distributions. These functions were tested using different evolution scenarios (condensation or evaporation) and different size grid resolutions (fine and coarse). The overall improvement comparing to conventional one- or two-moment aerosol sectional models (e.g., TOMAS, Adams and Seinfeld 2002) is several orders of magnitude. Besides, our approach involves the solution of half as many equations and storage of less information than two-moment schemes.

Original languageEnglish (US)
Pages (from-to)1016-1021
Number of pages6
JournalAerosol Science and Technology
Issue number12
StatePublished - Dec 2008

ASJC Scopus subject areas

  • Materials Science(all)
  • Environmental Chemistry
  • Pollution


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